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On Joinability by Horizontal Broken Lines on the Engel Group Научная публикация

Журнал

Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302

Вых. Данные

Год: 2026, Том: 64, Номер: 1, DOI: 10.1007/s10469-026-09807-7

Ключевые слова

horizontal curve, broken line, Engel group

Авторы

Greshnov A.V. ^1,3 , Tryamkin M.V. ²

Организации

1	Novosibirsk State University and Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
2	Russian Technological University MIREA, Moscow, Russia
3	Novosibirsk State University

Информация о финансировании (1)

Министерство науки и высшего образования РФ

075-15-2025-349

We prove that almost all points of the Engel group Eα,β are joined with its neutral element by basis horizontal k-broken lines LE k, k 4, the links of which are segments of integral lines of basis horizontal left-invariant vector fields X, Y of the Lie algebra of the group Eα,β. Furthermore, there exist elements of the group Eα,β that cannot be joined by basis horizontal k-broken lines LE k, k 4. We prove that all points of the Engel group Eα,β are joined with its neutral element by basis horizontal k-broken lines LE k, k 6.

Greshnov A.V. , Tryamkin M.V.
On Joinability by Horizontal Broken Lines on the Engel Group
Algebra and Logic. 2026. V.64. N1. DOI: 10.1007/s10469-026-09807-7 WOS Scopus OpenAlex

Поступила в редакцию:	14 окт. 2024 г.
Принята к публикации:	4 июн. 2025 г.
Опубликована online:	26 янв. 2026 г.

Web of science:	WOS:001669099200001
Scopus:	2-s2.0-105028777529
OpenAlex:	W7125675767

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